Ok, Little Green Frog, as taught to me by the library ladies at bounce & rhyme. (actions are compulsory)
"mmm (eyes closed), mmm (tongue out), went the little green frog, one day.
mmm (eyes closed), mmm (tongue out), went the little green frog.
mmm (eyes closed), mmm (tongue out), went the little green frog, one day.
and the frog went mmm (eyes closed), mmm (tongue out), ahhhhhh (mouth wide open).
But we know frogs go na na na na na (waving hands side to side, a bit like jazz hands), na na na na na, na na na na na.
we know frogs go na na na na na (waving hands side to side, a bit like jazz hands), na na na na na, na na na na na.
They don't go mmm (eyes closed), mmm (tongue out), ahhhhhh (mouth wide open)."
I can't liken the tune to anything. Maybe someone else can?
No idea on the puking Fizz, but your logic sounds good.